66127228378225 has 243 divisors, whose sum is σ = 103221577964547. Its totient is φ = 41893286722560.

The previous prime is 66127228378219. The next prime is 66127228378241. The reversal of 66127228378225 is 52287382272166.

The square root of 66127228378225 is 8131865.

It is a perfect power (a square), and thus also a powerful number.

66127228378225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 1511225203761 + 64616003174464 = 1229319^2 + 8038408^2 .

It is not a de Polignac number, because 66127228378225 - 2¹¹ = 66127228376177 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 382238314239 + ... + 382238314411.

Almost surely, 2^{66127228378225} is an apocalyptic number.

66127228378225 is the 8131865-th square number.

66127228378225 is the 4065933-rd centered octagonal number.

It is an amenable number.

66127228378225 is a deficient number, since it is larger than the sum of its proper divisors (37094349586322).

66127228378225 is an equidigital number, since it uses as much as digits as its factorization.

66127228378225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 281 counting only the distinct ones).

The product of its digits is 54190080, while the sum is 61.

The spelling of 66127228378225 in words is "sixty-six trillion, one hundred twenty-seven billion, two hundred twenty-eight million, three hundred seventy-eight thousand, two hundred twenty-five".